Line contact between a rigid indenter and a damaged elastic body

M. D. Bryant*, G. R. Miller, L. M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


The two-dimensional problem of a rigid cylinder sliding on an elastic half-space containing a surface-breaking crack is solved using complex-variable techniques. The problem is reduced to a singular-integral equation which is solved numerically. Results are obtained for comparison with previous contact fatigue calculations, which were based on prescribed Hertzian contact stresses as opposed to the prescribed displacements as used in this paper. It is demonstrated that for engineering applications, prescribing stresses and ignoring interaction effects is a good approximation for the geometries under consideration.

Original languageEnglish (US)
Pages (from-to)467-478
Number of pages12
JournalQuarterly Journal of Mechanics and Applied Mathematics
Issue number3
StatePublished - Aug 1984

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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